An autostereoscopic display apparatus is provided for three-dimensional (3D) display. The autostereoscopic display apparatus includes a display panel having a plurality of display elements arranged in a two-dimensional array. The autostereoscopic display apparatus also includes a grating device coupled to the display device and having a plurality of grating elements to guide lights associated with 3D display into predetermined viewing directions. Further, the plurality of grating elements cover the plurality of display elements and are tilted such that a tilted direction of the plurality of grating elements form a non-zero angle with respect to a diagonal direction of the plurality display elements.